Surface Area of a cube Formula with solved example
An object with six square faces, sides, or facets is called a cube, which has three lines meeting at each vertex in three dimensions. It is one of five Platonic solids and the only regular hexahedron. There are 6 faces, 12 edges, and 8 vertices. In addition to the cube, there is a cuboid in every dimension, as well as a right rhombohedron and a 3-zonohedron. It is a trapezohedron in four orientations, a square prism in three orientations, and a trapezohedron in trigonal form. A cube is dual to an octahedron. The symmetry of the object is cubic or octahedral. Among convex polyhedra, only the cube has all square faces.
A cube’s surface area is equal to the sum of the surfaces that cover it. For the surface area of a cube, the length of its sides multiplied by six equals the surface area. This is represented by 6a2, where a denotes the side length. In essence, it is a measure of the total surface area.
Formula of the surface area of cube = 6a2
Ques. Find the surface area of a cube of a side length of 8 cm.
Ans. According to question, a side of the cube = 8 cm
As we know, the formula of the surface area of a cube = 6a2
And a = 8 cm
Therefore, Surface Area = 6 (8)2
= 6 x 64
= 384 cm 2
Ques. The surface area of a cube is 150 feet square. What is the length of the cube?
Ans. According to the question, Surface area of a cube = 150 ft 2
As the formula of the surface area of a cube = 6a2